On your first day at work as an electrical technician, you are asked to determine the resistance per meter of a long piece of wi
re. The company you work for is poorly equipped. You find a battery, a voltmeter, and an ammeter, but no meter for directly measuring resistance (an ohmmeter). You put the leads from the voltmeter across the terminals of the battery, and the meter reads 12.1 . You cut off a 20.0- length of wire and connect it to the battery, with an ammeter in series with it to measure the current in the wire. The ammeter reads 6.50 . You then cut off a 40.0- length of wire and connect it to the battery, again with the ammeter in series to measure the current. The ammeter reads 4.50 . Even though the equipment you have available to you is limited, your boss assures you of its high quality: The ammeter has very small resistance, and the voltmeter has very large resistance.
What is the resistance of 1 meter of wire?
What is the resistance of 1 meter of wire?
1 answer:
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Answer:
water leak is 650 gallons
time required to full drain is 80 hrs
Explanation:
given data
volume V = 3200 gallon
rate = V(t) = 80 - t
to find out
how much water leak between 10 and 20 hour and drain complete
solution
we know here rate is 80 - t
so here rate will be
= 80 - t
and for time 10 and 20 hour
take integrate between 10 and 20
so water leak = .....................1
water leak = ( 80t -
water leak = 650
so water leak is 650 gallons
and
we know here for full tank drain condition
water leak full = 80 t -
3200 = 80 t -
6400 = t² - 160 t
t = 80
so time required to full drain is 80 hrs
Explanation:
A) To prove the motion of the center of mass of the cylinders is simple harmonic:
System diagram for given situation is shown in attached Fig. 1
We can prove the motion of the center of mass of the cylinders is simple harmonic if
where aₓ is acceleration when attached cylinders move in horizontal direction:
<h3>PROOF:</h3>rotational inertia for cylinders is given as:
-----(1)
Newton's second law for angular motion is:
∑τ = Iα ------(2)
For linear motion in horizontal direction it is:
∑Fₓ = Maₓ ------ (3)
By definition of torque:
τ = RF --------(4)
Put (4) and (1) in (2)
from Fig 3 it can be seen that fs is force by which the cylinders roll without slipping as they oscillate
So above equation becomes
------ (5)
As angular acceleration is related to linear by:
Eq (5) becomes
---- (6)
aₓ shows displacement in horizontal direction
From (3)
∑Fₓ = Maₓ
Fₓ is sum of fs and restoring force that spring exerts:
----(7)
Put (7) in (3)
[/tex] -----(8)
Using (6) in (8)
--- (9)
For spring mass system
----- (10)
Equating (9) and (10)
then (9) becomes
(The minus sign says that x and aₓ have opposite directions as shown in fig 3)
This proves that the motion of the center of mass of the cylinders is simple harmonic.
<h3 /><h3>B) Time Period</h3>Time period is related to angular frequency as:
Answer:
Explanation:
Given:
width of the wire,
thickness of the flat wire,
length of the wire,
voltage across the wire,
current through the wire,
Now the net resistance of the wire:
using ohm's law
We have the relation between the resistivity and the resistance as:
where:
a = cross sectional area of the wire
resistivity of the wire material